Question

Помогите!)!!!!!!!!!!!!

Answer 1

$170)54log_{19}\sqrt[3]{19}=54log_{19}19^{\frac{1}{3} }=54*\frac{1}{3}log19_{19} =54*\frac{1}{3}*1=18$

$171)log_{\sqrt[8]{14} }14=log_{14}14^{8}=8log_{14}14=8*1=8$

$172)\frac{log_{5}150 }{2+log_{5}6 } =\frac{log_{5}(25*6) }{2+log_{5}6 }=\frac{log_{5}25+log_{5}6}{2+log_{5}6 }=\frac{2+log_{5}6 }{2+log_{5}6 }=1$

$173)\frac{log_{7}13 }{log_{7}11 }+log_{11}\frac{1}{13}=log_{11}13+log_{11}\frac{1}{13}=log_{11}(13*\frac{1}{13})=log_{11}1=0$